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An exact formula for the measure dimensions associated with a class of piecewise linear maps

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Abstract

An exact formula for the various measure dimensions of attractors associated with contracting similitudes is given. An example is constructed showing that for more general affine maps the various measure dimensions are not always equal.

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Communicated by Michael F. Barnsley.

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Geronimo, J.S., Hardin, D.P. An exact formula for the measure dimensions associated with a class of piecewise linear maps. Constr. Approx 5, 89–98 (1989). https://doi.org/10.1007/BF01889600

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  • DOI: https://doi.org/10.1007/BF01889600

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